A student struggles to calculate matrices that correspond to linear transformations that
occur off of the x- or y-axes. Doctor Schwa formalizes what the student has already done, then introduces a second approach and the concept of conjugations.

If variables get multiplied by other variables in a system of equations, how do you
solve it? or is it even possible? Doctor Vogler outlines several strategies, then --
reflecting on his choices at every turn -- methodically simplifies an example that
requires lowering polynomial degree.